find euclid division lemma for 1000 and 56
Answers
Answer:
Step-by-step explanation:
given numbers are 1000 and 56.
BY EUCLIDS DIVISON LEMMA
given two positive integers a and b there exists a unique integer q and r satisfying a = bq + r. 0 is greater than or equal to r and greater than b.
A = BQ + R
let a = 1000 and b = 56
by euclids division lemma
1000 = 56 ×17 + 48
since the remainder is not zero we continue the process
now a = 56 and b = 48
56 = 48 × 1 + 8
since the remainder is not zero again we cotinue the process
now a = 48 and b =8
48= 8× 6 + 0
since here the reminder is zero we stop the process
the divisior in the last step is the hcf of two numbers
THE HCF OF TWO NUMBERS IS 6.
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Answer:
6 is the HCF
Step-by-step explanation:
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